Question

The number of four digit even numbers that can be formed with 0, 1, 2, 3, 7, 8 is:

• A. $180$
• B. $175$
• C. $160$
• D. $156$

Answer 1

The correct option is D $156$

$\to$ First, let us find the total no. of four digit arrangement
$\to$ Even digits = 2,8,0 [3digits]

5

4

3

3

Total no of cases $=$ 5 x 4 x 3 x 3
$=$ 180
$\to$ Excluding the ones that start with 0.

0

4

3

2

$\to$ This time, the last can take 1 of 2 options
only (2,8)
No. of numbers starting with 0 $=$ 4 x 3 x 2 $=$ 24

Ans$=180-24=156$